Practice calculating volume and describing 2D cross sections of 3D figures with this activity.
Students select two objects for this project. I usually ask them to bring in two objects that resemble the 3D figures we have been studying, such as rectangular prisms, cylinders, spheres, cones, etc. The teacher can advise students which types of figures are acceptable. Students measure the dimensions to use in calculating volume. They sketch two cross sections for each object and calculate the area of those.
This project can be completed in a class period, or it could be assigned as homework.
Common Core Standards:
CCSS.Math.Content.HSG.GMD.A.3 Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
CCSS.Math.Content.HSG.GMD.B.4 Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.
CCSS.Math.Content.8.G.C.9 Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
CCSS.Math.Content.7.G.A.3 Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.
CCSS.Math.Content.7.G.B.6 Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
Thank you for your interest in this resource from Rise over Run.
Volume Sculpture Project